## Abstract Fractal Brownian motion, also called fractional Brownian motion (fBm), is a class of stochastic processes characterized by a single parameter called the Hurst parameter, which is a real number between zero and one. fBm becomes ordinary standard Brownian motion when the parameter has the
Some aspects of fractional Brownian motion
β Scribed by T.E. Duncan
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 275 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
In this paper some results for a stochastic calculus for a fractional Brownian motion are described. Some applications of this calculus are given. Some results of a spectral approach to fractional Gaussian noise, the formal derivative of fractional Brownian motion, are given.
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